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Finding the Fourth Proportional to 6,170.88, 9,255.16 and 2,221.52

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Solution

The fourth proportional to 6,170.88, 9,255.16 and 2,221.52 is: 3,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.88 : 9,255.16 = 2,221.52 : x
  2. Step 2: Convert to fraction form
    6,170.88/9,255.16 = 2,221.52/x
  3. Step 3: Cross multiply
    6,170.88x = 9,255.16 × 2,221.52
  4. Step 4: Simplify right side
    6,170.88x = 20,560,523.04
  5. Step 5: Solve for x
    x = 20,560,523.04/6,170.88
  6. Step 6: Final answer
    x = 3,331.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.